Least Common Multiple of 424/530, 562/344, 173/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/530, 562/344, 173/328 quickly i.e. 10305956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/530, 562/344, 173/328 is 10305956.

LCM(424/530, 562/344, 173/328) = 10305956

LCM of 424/530, 562/344, 173/328

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 424/530,562/344,173/328

Given numbers are 424/530,562/344,173/328

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 424,562,173

Least Common Multiple of Numerators i.e. LCM of 424,562,173 is 20611912.

GCF of Denominators means GCF of 530,344,328 as per the given fractions.

GCF of 530,344,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,562,173

LCM of Fractions 424/530,562/344,173/328 is 10305956

2 424, 562, 173
212, 281, 173

∴ So the LCM of the given numbers is 2 x 212 x 281 x 173 = 20611912

Least Common Multiple of 424,562,173 with GCF Formula

Least Common Multiple of 424,562,173 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 424,562,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,562,173) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(424,562,173) x common factors =1 x 2 = 2

LCM(424,562,173) = ( 424 × 562 × 173 ) / 2

LCM(424,562,173) = 41223824 / 2

LCM(424,562,173) = 20611912


Lets's calculate GCF of 530,344,328

2 530, 344, 328
265, 172, 164

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20611912/2

Therefore the LCM of Fractions 424/530,562/344,173/328 is 10305956

Greatest Common Factor of 530,344,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,344,328 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 530,344,328 . The biggest common factor number is the GCF number.
So the greatest common factor 530,344,328 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 424/530, 562/344, 173/328

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 424/530, 562/344, 173/328?

Answer: LCM of Numerators as per given numbers 424/530, 562/344, 173/328 is

LCM of Numerators i.e. for 424,562,173 is 20611912

GCF of denominators i.e. for 530,344,328 is 2.

Thus, LCM of Fractions is 10305956.Finally, LCM of Fractions for 424/530, 562/344, 173/328 is 10305956.